Cholesky Factorization of a Matrix. The Cholesky factorization of a Hermitian positive definite n-by-n matrix A is defined by an upper or lower triangular matrix with positive entries on the main diagonal. The Cholesky factorization of matrix A can be defined as T'*T = A, where T is an upper triangular matrix.Here T' is the conjugate transpose of T. The Cholesky factorization also can be defined as T*T' = A, where T is a lower triangular matrix.T is called the Cholesky factor of A.ow convert this matrix to a symbolic object, and compute the Cholesky factorization: Compute the Cholesky factorization of the 3-by-3 Pascal matrix returning a lower triangular matrix as a result: Try to compute the Cholesky factorization of this matrix.
The chain of custody is the device that the proponent of an item of evidence uses to authenticate that an object is what it purports to be. In this case, it establishes that the e-mail comes from the set of ones and zeroes that were present on Smith's hard drive on the day it was taken into custody. Collect and Preserve
Chain gang. A chain gang is a group of prisoners chained together to perform menial or physically challenging work as a form of punishment. Such punishment might include repairing buildings, building roads, or clearing land. This system existed primarily in the Southern United States, and by 1955 had been phased out nationwide, with Georgia the last state to abandon the practice. Chain gangs were reintroduced by a few states during the get tough on crime 1990s, with Alabama being the first state to revive them in 1995. The experiment ended after about one year in all states except Arizona, where in Maricopa County inmates can still volunteer for a chain gang to earn credit toward a high school diploma or avoid disciplinary lockdowns for rule infractions.